2253081600 has 792 divisors, whose sum is σ = 10136875008. Its totient is φ = 464486400.

The previous prime is 2253081599. The next prime is 2253081631. The reversal of 2253081600 is 61803522.

2253081600 is a `hidden beast` number, since 2 + 2 + 53 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17740737 + ... + 17740863.

Almost surely, 2^2253081600 is an apocalyptic number.

2253081600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068437504).

2253081600 is an abundant number, since it is smaller than the sum of its proper divisors (7883793408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2253081600 is a wasteful number, since it uses less digits than its factorization.

2253081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2253081600 is about 47466.6367041104. The cubic root of 2253081600 is about 1310.9686521033.

The spelling of 2253081600 in words is "two billion, two hundred fifty-three million, eighty-one thousand, six hundred".